Maximum response perturbation-based control of virus infection model with time-delays

DOI10.1515/rnam-2017-0027zbMath1379.92029OpenAlexW2769136722MaRDI QIDQ1681954

Dmitry S. Grebennikov, Yuri M. Nechepurenko, Michael Yu. Khristichenko, Gennadii A. Bocharov

Publication date: 27 November 2017

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2017-0027

zbMATH Keywords

perturbationpersistencesteady statemathematical modeldelay-differential equationsvirus infectionoptimal disturbancesmulti-modal perturbations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems governed by functional-differential equations (93C23) Medical epidemiology (92C60)

Related Items (8)

Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions ⋮ Optimal disturbances for periodic solutions of time-delay differential equations ⋮ Dependence of optimal disturbances on periodic solution phases for time-delay systems ⋮ Mathematical immunology: from phenomenological to multiphysics modelling ⋮ Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays ⋮ Bistability analysis of virus infection models with time delays ⋮ Optimal disturbances of bistable time-delay systems modeling virus infections ⋮ Computation of optimal disturbances for delay systems

Cites Work

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• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Low level viral persistence after infection with LCMV: A quantitative insight through numerical bifurcation analysis

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